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Finding the Third Proportional to 75,355 and 155,610

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Solution

The third proportional to 75,355 and 155,610 is: 321,338.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,355 : 155,610 = 155,610 : x
  2. Step 2: Convert to fraction form
    75,355/155,610 = 155,610/x
  3. Step 3: Cross multiply
    75,355x = 155,610 × 155,610
  4. Step 4: Simplify right side
    75,355x = 24,214,472,100
  5. Step 5: Solve for x
    x = 24,214,472,100/75,355
  6. Step 6: Final answer
    x = 321,338.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.